208,384

2⁹ × 11 × 37

Prime Factor Structure

Factorization String 2^9 × 11 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 466,488

Proper Divisor Sum 258,104

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #208379 ← → #208387

Radix Representation

Decimal	208384
Binary	110010111000000000 (18 bits)
Octal	0o627000
Hexadecimal	0x32E00

Divisor Catalog (40)

1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 512 592 704 814 1,184 1,408 1,628 2,368 2,816 3,256 4,736 5,632 6,512 9,472 13,024 18,944 26,048 52,096 104,192 208,384

Collatz Trajectory (49 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

208,384 104,192 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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